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lilavasa [31]
3 years ago
13

Find the are of each solid figure

Mathematics
1 answer:
Tju [1.3M]3 years ago
3 0
Perimeter of the base = 8 + 5 + 5 = 18 ft

Height = 7 ft

Base area = 1/2 x 8 x 3 = 12 ft²

Surface area = (18)(7) + 2(12) = 150 ft²

--------------------------------------------------
Answer: 150 ft²
--------------------------------------------------

The above answer is according to the worksheet but I will present it in another way for you to understand better.

The figure has 5 sides

-------------------------
Bottom Triangle
-------------------------
Area = 1/2 x base x height
Area = 1/2 x 8 x 3
Area = 12 ft²

-------------------------
Top Triangle
-------------------------
Top Triangle = Bottom Triangle
Top Triangle = 12 ft²

-------------------------
3 Rectangles on the sides
-------------------------
Area of 1st Rectangle = Length x Width
Area of 1st Rectangle = 7 x 5 = 35 ft²
Area of 2nd Rectangle = 7 x 5 = 35 ft²
Area of 3rd Rectangle = 8 x 7 = 56 ft²
Total area of the rectangles = 35 + 35 + 56 = 126 ft²

-------------------------
Total Surface Area
-------------------------
126 + 12 + 12 = 150 ft²

<em>(*Area of the 3 rectangles + top triangle + bottom triangle)
</em>
-------------------------
Answer: 150 ft²
-------------------------

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